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10556144430 = 23513191314149
BaseRepresentation
bin10011101010011000…
…11111101100101110
31000020200020200212020
421311030133230232
5133104333110210
64503250451010
7522406514166
oct116514375456
930220220766
1010556144430
114527739607
122067293a66
13cc2c9c610
14721d715a6
1541bb16770
hex27531fb2e

10556144430 has 64 divisors (see below), whose sum is σ = 27299764800. Its totient is φ = 2596893696.

The previous prime is 10556144419. The next prime is 10556144471. The reversal of 10556144430 is 3444165501.

It is a super-2 number, since 2×105561444302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10556144391 and 10556144400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738996 + ... + 753144.

It is an arithmetic number, because the mean of its divisors is an integer number (426558825).

Almost surely, 210556144430 is an apocalyptic number.

10556144430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10556144430 is an abundant number, since it is smaller than the sum of its proper divisors (16743620370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10556144430 is a wasteful number, since it uses less digits than its factorization.

10556144430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16085.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 10556144430 in words is "ten billion, five hundred fifty-six million, one hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1913 3826 5739 9565 11478 14149 19130 24869 28298 28695 42447 49738 57390 70745 74607 84894 124345 141490 149214 183937 212235 248690 367874 373035 424470 551811 746070 919685 1103622 1839370 2759055 5518110 27067037 54134074 81201111 135335185 162402222 270670370 351871481 406005555 703742962 812011110 1055614443 1759357405 2111228886 3518714810 5278072215 10556144430